Algebra 1 Common Core Student Edition, Grade 8-9

Graphing Square

Root Functions

Co m m o n Co r e St a t e St a n d a r d s

F-IF.C.7b Graph square root, cube root, and piecewise-

defined functions, including step functions and absolute

value functions. Also A-CED.A.2

MP 1, MP 2, MP 3, MP 4, MP 6

Object ives To graph square root functions

To translate graphs of square root functions

Get t i n g Read y!

Look at your

graph. H ow is it

sim ilar to and

different from a

parabola?

MATHEMATICAL

PRACTICES

^ A la n d s c a p e r is p lan n in g t o b u ild a

square yard w ith a wall on one side.

The size of the yard will determine

th e project's cost. Graph th e length

of the wall as a function of the area

o f t h e y a r d. W h a t is a n e q u a tio n o f

this graph? Explain your reasoning.

Lesson
Vocabulary
square root
fu n ction

The Solve It involves a square root function. Square root functions are examples of

radical functions.

Key Concept Square Root Functions

A square root function is a function containing a square root with the independent

variable in the radicand. The parent square root function is y = Vx.

The table and graph below show the parent square root function.

on

0 0

1 1

2 ~j~L4

4 2

9 3

Essent ial Und er st and ing You can graph a square root function by plotting

points or using a translation of the parent square root function.

L

PowerAlgebra.com ^

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Lesson 10-5 Graphing Square Root Functions 639